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Creators/Authors contains: "Bufetov, Alexey"

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  1. ; ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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  2. ; ; (, The Annals of Applied Probability)
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  3. ; ; (, Advances in Mathematics)
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  4. ; (, Forum of Mathematics, Sigma)
    Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $$U_{q}(\widehat{\mathfrak{sl}_{2}})$$ . Combining these moves leads to a new object which we call the spin Hall–Littlewood Yang–Baxter field—a probability distribution on two-dimensional arrays of particle configurations on the discrete line. We identify joint distributions along down-right paths in the Yang–Baxter field with spin Hall–Littlewood processes, a generalization of Schur processes. We consider various degenerations of the Yang–Baxter field leading to new dynamic versions of the stochastic six-vertex model and of the Asymmetric Simple Exclusion Process. 
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  5. ; (, Advances in Mathematics)
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